146841355234200 has 384 divisors, whose sum is σ = 515742686784000. Its totient is φ = 34246627430400.

The previous prime is 146841355234159. The next prime is 146841355234213. The reversal of 146841355234200 is 2432553148641.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 146841355234200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18355621 + ... + 25111979.

It is an arithmetic number, because the mean of its divisors is an integer number (1343079913500).

Almost surely, 2^{146841355234200} is an apocalyptic number.

146841355234200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146841355234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257871343392000).

146841355234200 is an abundant number, since it is smaller than the sum of its proper divisors (368901331549800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146841355234200 is a wasteful number, since it uses less digits than its factorization.

146841355234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756515 (or 6756506 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 146841355234200 in words is "one hundred forty-six trillion, eight hundred forty-one billion, three hundred fifty-five million, two hundred thirty-four thousand, two hundred".